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Finding the Third Proportional to 595,654 and 1,284,614

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Solution

The third proportional to 595,654 and 1,284,614 is: 2,770,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,654 : 1,284,614 = 1,284,614 : x
  2. Step 2: Convert to fraction form
    595,654/1,284,614 = 1,284,614/x
  3. Step 3: Cross multiply
    595,654x = 1,284,614 × 1,284,614
  4. Step 4: Simplify right side
    595,654x = 1,650,233,128,996
  5. Step 5: Solve for x
    x = 1,650,233,128,996/595,654
  6. Step 6: Final answer
    x = 2,770,455.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.